Paper ID: 2307.02873

Computing Motion Plans for Assembling Particles with Global Control

Patrick Blumenberg, Arne Schmidt, Aaron T. Becker

We investigate motion planning algorithms for the assembly of shapes in the \emph{tilt model} in which unit-square tiles move in a grid world under the influence of uniform external forces and self-assemble according to certain rules. We provide several heuristics and experimental evaluation of their success rate, solution length, runtime, and memory consumption.

Submitted: Jul 6, 2023